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225311416433 is a prime number
BaseRepresentation
bin1101000111010110011…
…0110110000001110001
3210112120100011212100022
43101311212312001301
512142414210311213
6251301233333225
722164266304005
oct3216546660161
9715510155308
10225311416433
1187610469a84
1237800407215
131832921c96c
14ac95970705
155cda65d308
hex34759b6071

225311416433 has 2 divisors, whose sum is σ = 225311416434. Its totient is φ = 225311416432.

The previous prime is 225311416349. The next prime is 225311416439. The reversal of 225311416433 is 334614113522.

225311416433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181802462689 + 43508953744 = 426383^2 + 208588^2 .

It is a cyclic number.

It is not a de Polignac number, because 225311416433 - 216 = 225311350897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225311416393 and 225311416402.

It is not a weakly prime, because it can be changed into another prime (225311416439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112655708216 + 112655708217.

It is an arithmetic number, because the mean of its divisors is an integer number (112655708217).

Almost surely, 2225311416433 is an apocalyptic number.

It is an amenable number.

225311416433 is a deficient number, since it is larger than the sum of its proper divisors (1).

225311416433 is an equidigital number, since it uses as much as digits as its factorization.

225311416433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 35.

Adding to 225311416433 its reverse (334614113522), we get a palindrome (559925529955).

The spelling of 225311416433 in words is "two hundred twenty-five billion, three hundred eleven million, four hundred sixteen thousand, four hundred thirty-three".